📊 What is a break-even chart?
Big Idea: A break-even chart is a graph that shows total costs and total revenue at different levels of output. The point where the two lines cross is the break-even point! 📈
Why draw a break-even chart?
- Visual way to see where the business starts making profit
- Shows the margin of safety clearly
- Helps businesses plan production levels
- Easy to see the impact of cost or price changes
✏️ How to draw a break-even chart — step by step
Follow these steps carefully for full marks in exams.
- Step 1: Draw and label the axes — x-axis = output (units), y-axis = costs/revenue ($)
- Step 2: Plot the fixed costs line — a horizontal line at the level of fixed costs
- Step 3: Plot the total costs (TC) line — starts at fixed costs, slopes upward (FC + VC)
- Step 4: Plot the total revenue (TR) line — starts at the origin (0,0), slopes upward
- Step 5: Mark the break-even point — where TC and TR cross
- Step 6: Label everything clearly — axes, lines, BEP, and units
Common mistakes: forgetting to label axes, not starting TC at fixed costs level, or not drawing to scale. These cost you marks!
Stop wasting time on topics you know
Our AI identifies your weak areas and focuses your study time where it matters. No more overstudying easy topics.
Try Smart Study Free7-day free trial • No card required
👀 Reading a break-even chart
Once the chart is drawn, you can read off important information.
- Break-even output — read down from the BEP to the x-axis
- Profit zone — the area where TR is ABOVE TC (to the right of BEP)
- Loss zone — the area where TC is ABOVE TR (to the left of BEP)
- Margin of safety — distance along x-axis between BEP and actual output
To calculate profit at any output level from the chart: read TR and TC at that point, then profit = TR − TC.
🏆 What examiners look for
Break-even chart questions are very common and typically worth 4 marks. Here's how to get full marks.
- [1 mark] Correctly labelled axes (output on x-axis, costs/revenue on y-axis)
- [1 mark] Correct total revenue (TR) line
- [1 mark] Correct total costs (TC) line
- [1 mark] Break-even point correctly identified
If the question says 'to scale' and your chart isn't drawn to scale, the maximum you can score is usually 2 out of 4.
Use a ruler! Neat, accurate lines make it much easier for the examiner to award marks.